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Finding the Fourth Proportional to 542,013.24, 747,917.78 and 300,235.88

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Solution

The fourth proportional to 542,013.24, 747,917.78 and 300,235.88 is: 414,292.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,013.24 : 747,917.78 = 300,235.88 : x
  2. Step 2: Convert to fraction form
    542,013.24/747,917.78 = 300,235.88/x
  3. Step 3: Cross multiply
    542,013.24x = 747,917.78 × 300,235.88
  4. Step 4: Simplify right side
    542,013.24x = 224,551,752,845.95
  5. Step 5: Solve for x
    x = 224,551,752,845.95/542,013.24
  6. Step 6: Final answer
    x = 414,292.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.